A geometric construction of the Witten genus, II
Quantum Algebra
2011-12-19 v2 Algebraic Topology
Abstract
I give a rigorous construction of a 2-dimensional quantum field theory of maps from an elliptic curve to a compact complex manifold X, and I show that the partition function of this theory is the Witten genus of X. The results proved here were announced (in a slightly different form) in arXiv:1006.5422.
Keywords
Cite
@article{arxiv.1112.0816,
title = {A geometric construction of the Witten genus, II},
author = {Kevin J. Costello},
journal= {arXiv preprint arXiv:1112.0816},
year = {2011}
}
Comments
91 pages. Version 2: typos corrected